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CONTINUITY OF WEIGHTED COMPOSITION OPERATORS BETWEEN WEIGHTED BLOCH TYPE SPACES

Part of: Special classes of linear operators

Published online by Cambridge University Press:  01 August 2008

ELKE WOLF
ELKE WOLF*
Affiliation:
Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany (email: lichte@math.uni-paderborn.de)
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Abstract

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Let ϕ:D→D and ψ:D→ℂ be analytic maps. These induce a weighted composition operator ψCϕ acting between weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition when such an operator is continuous.

Keywords

weighted composition operatorsweighted Bloch type spaces

MSC classification

Secondary: 47B33: Composition operators 47B38: Operators on function spaces (general)

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 1 , August 2008 , pp. 111 - 115
Copyright
Copyright © 2008 Australian Mathematical Society

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